5 citations · 8 across the 4 of their papers we have counts for
4 papers
Complements of graphs of meromorphic functions and complete vector fields
Alvaro Bustinduy
Given a meromorphic function , we obtain a family of fiber-preserving dominating holomorphic maps from onto $\mathbb{C}^{2}\setmin…
Completeness is determined by any non-algebraic trajectory
Alvaro Bustinduy, Luis Giraldo
It is proved that any polynomial vector field in two complex variables which is complete on a non-algebraic trajectory is complete.
Proper trajectories of type C* of a polynomial vector field on C2
Alvaro Bustinduy
We prove that if a polynomial vector field on C2 has a proper and non-algebraic trajectory analytically isomorphic to C* all its trajectories are proper, and except at most one whi…
Complete holomorphic vector fields on C^2 whose underlying foliation is polynomial
Alvaro Bustinduy
We extend the classification of complete polynomial vector fields on C^2 given by Marco Brunella (Topology 43(2): 433-445, 2004) to cover the case of holomorphic (non-polynomial) v…